689755752 has 144 divisors (see below), whose sum is σ = 2186498340. Its totient is φ = 195858432.

The previous prime is 689755723. The next prime is 689755753. The reversal of 689755752 is 257557986.

689755752 is a `hidden beast` number, since 6 + 89 + 7 + 557 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 527804676 + 161951076 = 22974^2 + 12726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689755753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 680398 + ... + 681410.

Almost surely, 2^689755752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689755752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093249170).

689755752 is an abundant number, since it is smaller than the sum of its proper divisors (1496742588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

689755752 is a wasteful number, since it uses less digits than its factorization.

689755752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1218 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The square root of 689755752 is about 26263.2014803984. The cubic root of 689755752 is about 883.5513136979.

The spelling of 689755752 in words is "six hundred eighty-nine million, seven hundred fifty-five thousand, seven hundred fifty-two".